(x+4)-x(5-6x)=1

Solution for (x+4)-x(5-6x)=1 equation:

Simplifying
(x + 4) + -1x(5 + -6x) = 1

Reorder the terms:
(4 + x) + -1x(5 + -6x) = 1

Remove parenthesis around (4 + x)
4 + x + -1x(5 + -6x) = 1
4 + x + (5 * -1x + -6x * -1x) = 1
4 + x + (-5x + 6x2) = 1

Combine like terms: x + -5x = -4x
4 + -4x + 6x2 = 1

Solving
4 + -4x + 6x2 = 1

Solving for variable 'x'.

Reorder the terms:
4 + -1 + -4x + 6x2 = 1 + -1

Combine like terms: 4 + -1 = 3
3 + -4x + 6x2 = 1 + -1

Combine like terms: 1 + -1 = 0
3 + -4x + 6x2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.5 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.6666666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.6666666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.6666666667x + x2 = 0 + -0.5
-0.6666666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.6666666667x + x2 = -0.5

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.5 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.5 + 0.1111111112

Combine like terms: -0.5 + 0.1111111112 = -0.3888888888
0.1111111112 + -0.6666666667x + x2 = -0.3888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.